The account will have decreased by $2640 after 2/3 year.
Which graph represents the following piecewise defined function?
2 answers:
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
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Answer:
If is the transformed function, then the parent function
has been shifted up vertically by 4 units and horizontally right by 2 units
Step-by-step explanation:
Assume the function is is the parent function.
A vertical shift,b units up will transform the function to .
A horizontal shift units.
For instance, if , b=4, and a=2 units.
Then the transformed function becomes:
Answer:
Option D.
Step-by-step explanation:
The formula for total debt ratio is
It can be rewritten as
.... (1)
We know that,
... (2)
Using (1) and (2) we get
Substitute total debt ratio=0.46 in the above equation.
Therefore, the correct option is D.